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Rivalry under price and quantity uncertainty

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  • Dean Paxson
  • Helena Pinto

Abstract

We present a real option model for a duopoly setting where there are two stochastic factors and where the roles of the players are defined both exogenously and endogenously. The two stochastic factors are the number of units (market volume) and the profit per unit, which may have significantly different drifts and volatilities, and different correlations, depending on market structure and (dis)economies of scale. The paper shows that the degree of correlation between unit profits and market volume might result in different value functions and triggers, especially for followers and simultaneous investors in non‐pre‐emptive games. Monopoly‐like volume is a critical determinant of the leader's trigger in both pre‐emptive and non‐pre‐emptive games. First‐mover advantages are significant in the definition of the leader's optimal entry moment, if the players are fighting for the leader's position (pre‐emptive game).

Suggested Citation

  • Dean Paxson & Helena Pinto, 2005. "Rivalry under price and quantity uncertainty," Review of Financial Economics, John Wiley & Sons, vol. 14(3-4), pages 209-224.
    • Handle: RePEc:wly:revfec:v:14:y:2005:i:3-4:p:209-224
    DOI: 10.1016/j.rfe.2005.04.002
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    References listed on IDEAS

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    1. Thijssen, J.J.J. & van Damme, E.E.C. & Huisman, K.J.M. & Kort, P.M., 2001. "Investment Under Vanishing Uncertainty Due to Information Arriving Over Time," Discussion Paper 2001-14, Tilburg University, Center for Economic Research.
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    3. Lambrecht, Bart & Perraudin, William, 2003. "Real options and preemption under incomplete information," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 619-643, February.
    4. Huisman, K.J.M. & Kort, P.M., 1999. "Effects of Strategic Interactions on the Option Value of Waiting," Other publications TiSEM a867e9f4-7840-4335-83df-e, Tilburg University, School of Economics and Management.
    5. repec:fth:tilbur:9992 is not listed on IDEAS
    6. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    7. Drew Fudenberg & Jean Tirole, 1985. "Preemption and Rent Equalization in the Adoption of New Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 383-401.
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    Cited by:

    1. Wang, Congcong & Chen, Shanshan & Wang, Yuhan & Pansera, Bruno Antonio & Luckraz, Shravan, 2023. "On the welfare and policy implications of a two-period real option game," Socio-Economic Planning Sciences, Elsevier, vol. 90(C).
    2. Marius Sorin DINCA, 2022. "Using the Relation Between Quantity, Cost and Price to Increase Company Profit under Existing Production Capacity," Economics and Applied Informatics, "Dunarea de Jos" University of Galati, Faculty of Economics and Business Administration, issue 2, pages 54-60.

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